5月24日 高卫国教授学术报告(数学与统计学院)

来源:数学行政作者:时间:2023-05-22浏览:84设置

报 告 人:高卫国 教授 

报告题目:An Optimal Error Bound for shifted Cholesky QR3 in Oblique Inner Product

报告时间:2023年05月24日(周三)上午8:30—9:30

报告地点:静远楼204学术报告厅

主办单位:数学与统计学院、数学研究院、科学技术研究院

报告人简介:

      Weiguo Gao received the B.Sc. and M.Sc. degrees in computational mathematics from Jilin University in 1991 and 1994, respectively, and the Ph.D. degree in computational mathematics from Fudan University in 1997. And then he joined the faculty of Fudan University. He held a visiting professor position in the Computational Research Division at the Lawrence Berkeley National Laboratory for the period 2003-2005. He is currently a professor with the School of Mathematical Sciences and School of Data Science at Fudan University. His research interests are in the area of numerical linear algebra and high performance computing, including linear and nonlinear eigenvalue problems, large scale scientific computing, electronic structure and transition state calculations, numerical methods for data science.

报告摘要:

      The shifted CholeskyQR3 algorithm has been proposed in [SIAM J. Sci. Comput., 42(2000), pp. A477–A503] as an optional choice of the orthogonalization algorithms. We extend the error analysis result for oblique inner product and show that the new error bound is optimal. We also discuss the loss of orthogonality and verify our conclusions through numerical experiments. This is joint work with Rentao Xu.


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